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33400444220 = 225111316769931
BaseRepresentation
bin11111000110110100…
…100101010100111100
310012012201211100220122
4133012310211110330
51021401003203340
623202143234112
72261460043253
oct370664452474
9105181740818
1033400444220
111318a753110
1265818a8938
1331c3a15180
14188bccd79a
15d0741cdb5
hex7c6d2553c

33400444220 has 96 divisors (see below), whose sum is σ = 82897952256. Its totient is φ = 11144044800.

The previous prime is 33400444219. The next prime is 33400444241. The reversal of 33400444220 is 2244400433.

It is a super-2 number, since 2×334004442202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 33400444220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 442655 + ... + 512585.

It is an arithmetic number, because the mean of its divisors is an integer number (863520336).

Almost surely, 233400444220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33400444220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41448976128).

33400444220 is an abundant number, since it is smaller than the sum of its proper divisors (49497508036).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33400444220 is a wasteful number, since it uses less digits than its factorization.

33400444220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70131 (or 70129 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 33400444220 its reverse (2244400433), we get a palindrome (35644844653).

The spelling of 33400444220 in words is "thirty-three billion, four hundred million, four hundred forty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 167 220 260 286 334 572 668 715 835 1430 1670 1837 2171 2860 3340 3674 4342 7348 8684 9185 10855 18370 21710 23881 36740 43420 47762 69931 95524 119405 139862 238810 279724 349655 477620 699310 769241 909103 1398620 1538482 1818206 3076964 3636412 3846205 4545515 7692410 9091030 10000133 11678477 15384820 18182060 20000266 23356954 40000532 46713908 50000665 58392385 100001330 116784770 128463247 151820201 200002660 233569540 256926494 303640402 513852988 607280804 642316235 759101005 1284632470 1518202010 1670022211 2569264940 3036404020 3340044422 6680088844 8350111055 16700222110 33400444220